A047879 a(n)=Sum{T(n,i): i=0,1,...,n}+Sum{T(i,n): i=0,1,...,n-1}, array T counting least number of knight's moves as in A049604.

0, 10, 10, 18, 24, 38, 50, 70, 82, 108, 126, 156, 176, 212, 236, 278, 304, 350, 382, 434, 466, 524, 562, 624, 664, 732, 776, 850, 896, 974, 1026, 1110, 1162, 1252, 1310, 1404, 1464, 1564, 1628, 1734, 1800, 1910, 1982, 2098, 2170

Offset

0,2

Links

Table of n, a(n) for n=0..44.

Formula

Empirical g.f.: 2*x*(x^10+3*x^9-x^8-4*x^7-5*x^6-4*x^5-2*x^3-4*x^2-5*x-5) / ((x-1)^3*(x+1)^2*(x^2+1)*(x^2+x+1)). - Colin Barker, May 04 2014

Crossrefs

Cf. A049604.

Sequence in context: A227437 A352314 A363328 * A344336 A168416 A141324

Adjacent sequences: A047876 A047877 A047878 * A047880 A047881 A047882

Keyword

nonn

Author

Clark Kimberling

Status

approved